1/x + 1/x+6 = 1/4 помогите

Question

1/x + 1/x+6 = 1/4 помогите

Answer 1

1/x +1/(x+6) = 1/4        /.4x(x+6)
4(x+6) +4x = x(x+6)
4x+24+4x=x²+6x
8x+24=x²+6x
x²+6x-8x-24=0
x²-2x-24=0, D=4+96=100, √D=√100=10
x1=(2+10)/2=12/2=6
x2=(2-10)/2=-8/2=-4

(x≠0,x≠-6)